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Finding the Fourth Proportional to 13,853.76, 19,115.76 and 13,153.20

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Solution

The fourth proportional to 13,853.76, 19,115.76 and 13,153.20 is: 18,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.76 : 19,115.76 = 13,153.20 : x
  2. Step 2: Convert to fraction form
    13,853.76/19,115.76 = 13,153.20/x
  3. Step 3: Cross multiply
    13,853.76x = 19,115.76 × 13,153.20
  4. Step 4: Simplify right side
    13,853.76x = 251,433,414.43
  5. Step 5: Solve for x
    x = 251,433,414.43/13,853.76
  6. Step 6: Final answer
    x = 18,149.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.